Матрица Когерентности
Центральный математический объект — эрмитова матрица 7×7. Диагональ — населённости измерений (A, S, D, L, E, O, U). Внедиагональные элементы — когерентности между ними.
- Purity P = Tr(Γ²) — мера целостности
- P_crit = 2/7 — условие жизнеспособности
- C = Φ × R — интеграция × рефлексия
- L0→L4 — от интериорности до единства
γAA
γAS
γAD
γAL
γAE
γAO
γAU
γSA
γSS
γSD
γSL
γSE
γSO
γSU
γDA
γDS
γDD
γDL
γDE
γDO
γDU
γLA
γLS
γLD
γLL
γLE
γLO
γLU
γEA
γES
γED
γEL
γEE
γEO
γEU
γOA
γOS
γOD
γOL
γOE
γOO
γOU
γUA
γUS
γUD
γUL
γUE
γUO
γUU
Coherence Matrix Γ ∈ ℂ⁷ˣ⁷
The Single Primitive
Five Axioms Ω⁷
- ∞-topos Sh∞(𝒞) — everything else is derived
- Logic, time and space are consequences
- Principle of informational distinguishability
Structure
Seven Dimensions of the Holon
- Holon — integral unit of being
- Seven dimensions: A, S, D, L, E, O, U
- Coherence matrix Γ ∈ ℂ⁷ˣ⁷
Octonionic Foundation
Why Exactly 7
- P1 + P2 → 𝕆 → dim(Im(𝕆)) = 7
- Fano plane and G₂ symmetry
- Hamming code H(7,4) and Cayley-Dickson boundary
Dynamics
Evolution Equation
- dΓ/dτ = −i[H,Γ] + 𝒟[Γ] + ℛ[Γ,E]
- Dissipation from decoherence, regeneration from interiority
- Global attractor
Emergent Time
Time from Structure
- Time is not postulated — it is derived
- O-dimension as internal clock
- Discreteness τ ∈ ℤ₇ and arrow of time
Viability
Conditions of Existence
- Purity P — measure of integrity
- P_crit = 2/7 (theorem, five paths)
- Domain of stability
Gap Semantics
Interiority / Exteriority
- Gap(i,j) = |sin(arg(γᵢⱼ))| — duality
- Fano channel: dissipation via PG(2,2)
- Phase diagram of coherent states
Consciousness
From Qualia to Collective Mind
- 21-pair qualia taxonomy from Γ
- Emotions, attention, memory — from formalism
- AI consciousness: operational criteria
Physical Correspondence
From Γ to the Standard Model
- G₂ gauge symmetry and generations
- Yukawa hierarchy from Fano textures
- Cosmological constant: Λ budget
Proofs
Formal Theorems
- Minimality of 7 dimensions (Track A)
- 180+ results: from P_crit = 2/7 to substrate independence
- Categorical formalism and lax 2-functor
Coherence Cybernetics
Engineering Applications
- Measurement protocol for Γ in AI
- Conditional No-Zombie theorem
- Paninteriorism ≠ panpsychism
Reference
Verification & Notation
- Falsifiable predictions of the theory
- Status registry [Т]/[С]/[О]/[И]/[Г]/[П]
- Glossary, notation, specification